1. Preamble
Convex geometry is a recent branch of mathematics, although the first consistent contributions date back to antiquity (the Pythagoreans (VIe century BC) and Theaetetus of Athens (IVe century BC)), Euclid of Alexandria (circa 300 BC.), Zenodorus (IIe century BC)...) Archimedes of Syracuse (IIIe century AD) (p. 4 of , p. 112 of
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Bibliography
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(1) - ANDERSON (R.D.), KLEE (V.) - Convex functions and upper-semicontinuous collections, - Duke Mathematical Journal, Vol. 19, pp. 349-357 (1952).
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(2) - ASPLUND (E.) - Čebyšev sets in Hilbert space, - Transactions of the American Mathematical Society, Vol. 144, pp....
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